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Aspects of Machian Gravity (II): Testing Theory against Rotation Curves of 175 SPARC Galaxies. (arXiv:2309.00057v1 [astro-ph.CO])

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Machian Gravity (MG) presents a mathematical framework that captures the
essence of Mach's principle. It was formulated to address the limitations of
general relativity and provide a gravity theory founded on robust logical
principles. Unlike the approach of modifying existing theories by introducing
extra scalar and vector degrees of freedom to account for observational data,
MG offers a more coherent alternative. Previous investigations have revealed
MG's potential to explain diverse phenomena, such as galactic velocity
patterns, galaxy cluster mass distribution, and cosmic expansion, without
requiring additional dark components in the universe. This study applies the MG
acceleration law to a wide array of galaxies sourced from the SPARC galactic
database. Through meticulous analysis, we have determined the optimal
parameters of the Machian gravity model for each individual SPARC galaxy,
consequently fitting their distinctive rotational profiles. Similar to the
Modified Newtonian Dynamics (MOND), our results suggest the presence of an
acceleration scale linked to galaxies, governing their rotational behavior near
the outer regions. Importantly, this acceleration scale exhibits variability
across different galaxies, albeit typically remaining around the order of
$10^{-8} {\rm cm/s^2}$.

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